Please solve the hypothesis testing problems (#1, and 2) using Minitab as the tool.For each problem, (1) specify the business and statistical hypotheses, (2) specify what the Type I and Type II errors are in this business context, and, the implications of making those errors, (3) include the results from Minitab, (4) draw appropriate conclusions to your statistical hypotheses based on the results, and, finally, (5) present the business conclusions in a short non-statistical summary. For problem 3, use Minitab and follow instructions given with the problem. For problem 4, several analyses will be necessary. Present each analysis with business/statistical hypotheses, Minitab results, and business conclusions. Incorporate those analyses into a short report.

After receiving your bachelor's degree in personnel management, you were hired by a small but expanding life insurance company.Your first assignment is to develop a more efficient technique for the preliminary screening of applicants for sales positions.Since the firm employs only college graduates, you decide to work with information focusing on their performance during college.

A random sample of 25 from the firm's current sales force is selected and the following information is obtained:

Last year's performance evaluation score

College grade point average (GPA)

Percent of total college expenses earned by the individual

Number of social organizations the individual belonged to

Percent ofNumber of

PerformanceExpensesSocial

ScoreGPAEarnedOrganizations

432.1502

472.8205

532.6103

562.7601

573.800

642.6302

683.2101

682.8302

742.6102

752.9401

773.0300

783.2151

813.4202

832.8403

872.6605

883.1500

892.4804

903.3102

912.9506

923.5401

933.7302

943.1205

953.6701

963.2104

973.4400

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On the basis of the data obtained, what recommendations can you make regarding the preliminary screening of applicants for sales positions?